Which term, when added to the given polynomial, will change the end behavior of the graph? y is equal to 14 x to the 8th power minus 6 x to the 5th power minus 2 x to the 4th power minus 10

The polynomial’s end behavior is determined by its leading term, 14x⁸: it has even degree and a positive coefficient, so both ends rise. Adding −6x⁹ makes the highest-degree term −6x⁹, which has odd degree and a negative coefficient, so the ends go in opposite directions. Therefore, −6x⁹ changes the end behavior; the other choices leave an even-degree leading term with a positive coefficient.

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